Department of Mechanical Engineering, Centre for Bio-Engineering, University of Canterbury, Christchurch, New Zealand.
Comput Methods Programs Biomed. 2010 Jul;99(1):75-87. doi: 10.1016/j.cmpb.2010.01.002. Epub 2010 Jan 25.
Lumped parameter approaches for modelling the cardiovascular system typically have many parameters of which a significant percentage are often not identifiable from limited data sets. Hence, significant parts of the model are required to be simulated with little overall effect on the accuracy of data fitting, as well as dramatically increasing the complexity of parameter identification. This separates sub-structures of more complex cardiovascular system models to create uniquely identifiable simplified models that are one to one with the measurements. In addition, a new concept of parameter identification is presented where the changes in the parameters are treated as an actuation force into a feed back control system, and the reference output is taken to be steady state values of measured volume and pressure. The major advantage of the method is that when it converges, it must be at the global minimum so that the solution that best fits the data is always found. By utilizing continuous information from the arterial/pulmonary pressure waveforms and the end-diastolic time, it is shown that potentially, the ventricle volume is not required in the data set, which was a requirement in earlier published work. The simplified models can also act as a bridge to identifying more sophisticated cardiac models, by providing an initial set of patient specific parameters that can reveal trends and interactions in the data over time. The goal is to apply the simplified models to retrospective data on groups of patients to help characterize population trends or un-modelled dynamics within known bounds. These trends can assist in improved prediction of patient responses to cardiac disturbance and therapy intervention with potentially smaller and less invasive data sets. In this way a more complex model that takes into account individual patient variation can be developed, and applied to the improvement of cardiovascular management in critical care.
集中参数方法通常用于心血管系统建模,其中有许多参数,而其中很大一部分参数往往无法从有限的数据集识别出来。因此,模型的很大一部分需要进行模拟,而对数据拟合的准确性影响不大,同时大大增加了参数识别的复杂性。这将更复杂的心血管系统模型的子结构分离出来,创建了与测量结果一一对应的独特可识别的简化模型。此外,还提出了一种新的参数识别概念,即将参数的变化视为反馈控制系统中的激励力,参考输出被视为测量体积和压力的稳态值。该方法的主要优点是,当它收敛时,它必须是全局最小值,以便始终找到最适合数据的解决方案。通过利用动脉/肺压波形和舒张末期时间的连续信息,表明潜在地,心室体积在数据集是不需要的,这是早期发表的工作中的一个要求。简化模型还可以作为识别更复杂的心脏模型的桥梁,通过提供一组初始的患者特定参数,可以揭示数据随时间的趋势和相互作用。目标是将简化模型应用于患者群体的回顾性数据,以帮助描述人群趋势或已知范围内的未建模动态。这些趋势可以帮助更好地预测患者对心脏干扰和治疗干预的反应,同时使用更小和更少侵入性的数据集。通过这种方式,可以开发出考虑个体患者差异的更复杂模型,并应用于提高重症监护中的心血管管理水平。